Grade 9 Math Polynomial Review

Combining Like Terms

100

4x + 9 + x - 4

5x + 5

200

-3a - 2 + 7a + 5

4a + 3

300

x² +3x + 5 -x² +6x

9x + 5

400

t² + 3t³ -3 + 2t² +7t -2t³ 

t³ +3t² +7t -3

500

-1 + x² + 2x + 1 -2x + 2x²

3x²

Subtracting Polynomials

100

Subtract the polynomials:

(g - 4) - (3g - 6)

-2g + 2

200

Subtract the polynomials:

(-5h - 2) - (7h +6)

-12h - 8

300

Subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x² + x +3

400

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

500

Subtract the Polynomials:

(2x - 3x) - (x² -2x + 4)

-x² + x - 4

Multiplying Polynomials

100

Multiply the Polynomials:

3x² (2x⁴)

6x⁶

200

Multiply the Polynomials:

3(2x + 4x² - 5)

12x² + 6x - 15

300

Multiply the Polynomials:

(x - 1)(−8x² − 6x − 12 )

-8x³ - 6x² - 12x + 8x² + 6x + 12

-8x³ + 2x² - 6x + 12 (Correct Answer)

400

Multiply the Polynomials:

(3x-6)(5x+3)

15x²-21x-18

500

Multiply the following polynomials

(3r+ 5)²

9r² + 30r + 25

Classifying and Properties

100

State the degree and name for this polynomial:

3x⁷- 12x⁹

9th degree; Binomial

200

Write the following in correct form:

-8 - 11x + 3x⁴ + 12x²

3x⁴ +12x² - 11x - 8

300

What property of arithmetic is being shown?

9 * (3 + 4) = 9*3 + 9*4

Distributive Property

400

State the degree and name:

3x⁴y - 3x² + y³

5, Trinomial

500

Which of these is in correct order?

1. x + 1

2. x³ - 4x + x²

3. 15x + 10x² - 5x⁴

1; order from least to greatest exponent